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Finding the Fourth Proportional to 362,545.85, 500,312.90 and 201,416.00

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Solution

The fourth proportional to 362,545.85, 500,312.90 and 201,416.00 is: 277,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,545.85 : 500,312.90 = 201,416.00 : x
  2. Step 2: Convert to fraction form
    362,545.85/500,312.90 = 201,416.00/x
  3. Step 3: Cross multiply
    362,545.85x = 500,312.90 × 201,416.00
  4. Step 4: Simplify right side
    362,545.85x = 100,771,019,557.76
  5. Step 5: Solve for x
    x = 100,771,019,557.76/362,545.85
  6. Step 6: Final answer
    x = 277,953.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.